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Finding the Fourth Proportional to 779.25, 1,168.74 and 231.33

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Solution

The fourth proportional to 779.25, 1,168.74 and 231.33 is: 346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.25 : 1,168.74 = 231.33 : x
  2. Step 2: Convert to fraction form
    779.25/1,168.74 = 231.33/x
  3. Step 3: Cross multiply
    779.25x = 1,168.74 × 231.33
  4. Step 4: Simplify right side
    779.25x = 270,364.62
  5. Step 5: Solve for x
    x = 270,364.62/779.25
  6. Step 6: Final answer
    x = 346.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.